The probability that a measurement falls within a range of \(n\) standard deviations from an estimate of the mean
Summary: We derive a general equation for the probability that a measurement falls within a range of \(n\) standard deviations from an estimate of the mean. So we provide a frame that is compatible with a confidence interval centered about the mean that is naturally independent of the sample size. The equation is derived by interpolating theoretical results for extreme sample sizes. The intermediate value of the equation is confirmed with a computational test.
scientific article; zbMATH DE number 6172975